Answer:
To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:
z = (x - μ) / σ
Where:
x = ACT score of 31
μ = mean of ACT scores (28)
σ = standard deviation of ACT scores (2)
z = number of standard deviations away from the mean
Substituting the values, we get:
z = (31 - 28) / 2
z = 1.5
Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.